We report on a precision measurement of the neutron spin structure function
g1n using deep inelastic scattering of polarized electrons by polarized
^3He. For the kinematic range 0.014<x<0.7 and 1 (GeV/c)^2< Q^2< 17 (GeV/c)^2,
we obtain ∫0.0140.7g1n(x)dx=−0.036±0.004(stat)±0.005(syst) at an average Q2=5(GeV/c)2. We find relatively large negative
values for g1n at low x. The results call into question the usual Regge
theory method for extrapolating to x=0 to find the full neutron integral
∫01g1n(x)dx, needed for testing quark-parton model and QCD sum rules.Comment: 5 pages, 3 figures To be published in Phys. Rev. Let